Question

Determine the initial value and the rate of change in the following description.

Last year, Joshua’s tomato plant reached a maximum height of 2 feet. He is growing another tomato plant this year, and he is tracking its growth. The plant’s height today is 10 inches, and it grows 1.7 inches each day.


(1 point)
The initial value is b=
, and the rate of change is m=
.
What is the correct answer?

Answer 1

Use the table to answer the question.

x y
2 22
8 25
Determine the rate of change and the initial value of the linear function given here as a table of values.

(1 point)
The rate of change is m=
, and the initial value is b=
.

Answer 2

The initial value is b= 10 inches, and the rate of change is m= 1.7 inches per day.

Answer 3

To determine the rate of change, we have to find the change in y divided by the change in x.

Rate of change (m) = (25 - 22) / (8 - 2) = 3 / 6 = 0.5

To find the initial value, we can pick any point and use the formula y = mx + b to solve for b. Let's pick the point (2, 22).

22 = 0.5 * 2 + b
22 = 1 + b
b = 21

Therefore, the rate of change is m = 0.5, and the initial value is b = 21.